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 A173871 Row sums of A114994. 2

%I

%S 0,1,5,16,53,145,441,1165,3325,8840,24268,63542,172420,446485,1182329,

%T 3055461,7966038,20351233,52507157,133014971,339170500,853849745,

%U 2154442760,5382418592,13481157491,33449252747,83091028844,205013093570,505799029994,1240477207822,3042433058325

%N Row sums of A114994.

%e A114994 begins:

%e 0;

%e 1; => row sum 1;

%e 2,3; => row sum 5;

%e 4,5,7; => row sum 16;

%e 8,9,10,11,15; => row sum 53.

%p isA114994aux := proc(n) local k; for k from 0 do fk1 := 4^(k+1) ; if 2^k mod fk1 = n mod fk1 then return true; elif (2^k mod fk1) > n then return false; end if; end do: end proc:

%p isA114994 := proc(n) option remember ; if n = 0 then return true; elif type(n,'odd') then if n <= 11 then true; else return procname((n-1)/2) ; fi; else return ( isA114994(n/2) and isA114994aux(n/2) ); end if; end proc:

%p A173871 := proc(n) a := 0 ; for k from 2^n to 2^(n+1)-1 do if isA114994(k) then a := a+k; end if; end do; a ; end proc:

%p seq(A173871(n),n=0..19) ; # _R. J. Mathar_, Mar 26 2010

%Y Cf. A114994, A171426.

%K nonn

%O 0,3

%A _Alford Arnold_, Mar 05 2010

%E a(9)-a(19) from _R. J. Mathar_, Mar 26 2010

%E a(0) prepended by and more terms from _Jinyuan Wang_, Feb 23 2020

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Last modified April 11 02:27 EDT 2021. Contains 342886 sequences. (Running on oeis4.)